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Finding the Fourth Proportional to 656.66, 985.55 and 382.37

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Solution

The fourth proportional to 656.66, 985.55 and 382.37 is: 573.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.66 : 985.55 = 382.37 : x
  2. Step 2: Convert to fraction form
    656.66/985.55 = 382.37/x
  3. Step 3: Cross multiply
    656.66x = 985.55 × 382.37
  4. Step 4: Simplify right side
    656.66x = 376,844.75
  5. Step 5: Solve for x
    x = 376,844.75/656.66
  6. Step 6: Final answer
    x = 573.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.